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Finding the Fourth Proportional to 271.19, 405.99 and 140.90

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Solution

The fourth proportional to 271.19, 405.99 and 140.90 is: 210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.19 : 405.99 = 140.90 : x
  2. Step 2: Convert to fraction form
    271.19/405.99 = 140.90/x
  3. Step 3: Cross multiply
    271.19x = 405.99 × 140.90
  4. Step 4: Simplify right side
    271.19x = 57,201.96
  5. Step 5: Solve for x
    x = 57,201.96/271.19
  6. Step 6: Final answer
    x = 210.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.